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5248 = 2741
BaseRepresentation
bin1010010000000
321012101
41102000
5131443
640144
721205
oct12200
97171
105248
113a41
123054
132509
141cac
15184d
hex1480

5248 has 16 divisors (see below), whose sum is σ = 10710. Its totient is φ = 2560.

The previous prime is 5237. The next prime is 5261. The reversal of 5248 is 8425.

It is a happy number.

5248 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 5184 + 64 = 72^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

5248 is an undulating number in base 9.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 108 + ... + 148.

25248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355).

5248 is an abundant number, since it is smaller than the sum of its proper divisors (5462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5248 is an equidigital number, since it uses as much as digits as its factorization.

5248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 43 counting only the distinct ones).

The product of its digits is 320, while the sum is 19.

The square root of 5248 is about 72.4430811051. The cubic root of 5248 is about 17.3779259431.

It can be divided in two parts, 52 and 48, that added together give a square (100 = 102).

The spelling of 5248 in words is "five thousand, two hundred forty-eight".